If ^2 = 4 3 , then the general value of is - Vidyadip

MCQ

If ${\sec ^2}\theta = \frac{4}{3}$, then the general value of $\theta $ is

A
$2n\pi \pm \frac{\pi }{6}$
✓
$n\pi \pm \frac{\pi }{6}$
C
$2n\pi \pm \frac{\pi }{3}$
D
$n\pi \pm \frac{\pi }{3}$

✓

Answer

Correct option: B.

$n\pi \pm \frac{\pi }{6}$

b
(b) ${\cos ^2}\theta = \frac{3}{4} = {\cos ^2}\left( {\frac{\pi }{6}} \right) $

$\Rightarrow \theta = n\pi \pm \frac{\pi }{6}$.

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